Probability, Random Variables, and Probability Distributions
If the weights of pumpkins in a patch are normally distributed with a mean of 10 pounds and a standard deviation of 2 pounds, what would be the new standard deviation if we were to quadruple every pumpkin's weight?
What is the mean of a discrete random variable X that takes on values 2, 4, and 6 with probabilities 0.2, 0.5, and 0.3 respectively?
What would be the standard deviation for the discrete random variable representing flipping a fair coin three times and counting heads?
A game show contestant can either win 500 or lose 200 when spinning a wheel depending on where it lands; given that both outcomes are equally likely, what is this game's expected payoff?
The standard deviation measures which aspect of a probability distribution?
What is the probability that a randomly chosen value from a normal distribution with mean and standard deviation lies more than two standard deviations above or below the mean?
What does the standard deviation of a random variable measure?
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What symbol represents the population mean in statistics?
If a random variable X represents the number of heads in 4 coin flips, what is the standard deviation of X?
When determining if it’s appropriate to model a set of data with a binomial distribution, what condition is not necessary?